SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE
Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 413-423
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Let M be an n-dimensional closed hypersurface with constant mean curvature H satisfying |H| ≤ ε(n) in a unit sphere Sn+1, n ≤ 7, and S the square of the length of the second fundamental form of M. There exists a constant δ(n, H) > 0, which depends only on n and H, such that if S0 ≤ S ≤ S0 + δ(n, H), then S ≡ S0 and M is isometric to a Clifford hypersurface, where ε(n) is a sufficiently small constant depending on n and .
CHENG, QING-MING; HE, YIJUN; LI, HAIZHONG. SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE. Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 413-423. doi: 10.1017/S0017089509005187
@article{10_1017_S0017089509005187,
author = {CHENG, QING-MING and HE, YIJUN and LI, HAIZHONG},
title = {SCALAR {CURVATURE} {OF} {HYPERSURFACES} {WITH} {CONSTANT} {MEAN} {CURVATURE} {IN} {A} {SPHERE}},
journal = {Glasgow mathematical journal},
pages = {413--423},
year = {2009},
volume = {51},
number = {2},
doi = {10.1017/S0017089509005187},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005187/}
}
TY - JOUR AU - CHENG, QING-MING AU - HE, YIJUN AU - LI, HAIZHONG TI - SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE JO - Glasgow mathematical journal PY - 2009 SP - 413 EP - 423 VL - 51 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005187/ DO - 10.1017/S0017089509005187 ID - 10_1017_S0017089509005187 ER -
%0 Journal Article %A CHENG, QING-MING %A HE, YIJUN %A LI, HAIZHONG %T SCALAR CURVATURE OF HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A SPHERE %J Glasgow mathematical journal %D 2009 %P 413-423 %V 51 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005187/ %R 10.1017/S0017089509005187 %F 10_1017_S0017089509005187
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